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September, 1992 Statistical Analysis of Multiple Ion Channel Data
Andre Robert Dabrowski, David McDonald
Ann. Statist. 20(3): 1180-1202 (September, 1992). DOI: 10.1214/aos/1176348765

Abstract

Biological cell membranes contain molecular structures known as ion channels. The electrical activity of these channels regulates a number of cellular functions, such as heartbeat and neural transmission. Often the experimenter can only observe the combined current conducted through a cell patch containing an unknown number of ion channels, each channel of equal conductance. The observed current record is a step function with unit up or down steps occurring at random times. Based on such data, we obtain a goodness-of-fit test for the hypothesis that the channels in a portion of cellular membrane are operating independently, and that $K$ types ($K$ small) of channels exist in the membrane. If the hypothesis is accepted, estimates for the mean behaviour of each type of channel in the experiment are obtained. These techniques are applied to simulated and biological data.

Citation

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Andre Robert Dabrowski. David McDonald. "Statistical Analysis of Multiple Ion Channel Data." Ann. Statist. 20 (3) 1180 - 1202, September, 1992. https://doi.org/10.1214/aos/1176348765

Information

Published: September, 1992
First available in Project Euclid: 12 April 2007

zbMATH: 0781.62173
MathSciNet: MR1186246
Digital Object Identifier: 10.1214/aos/1176348765

Subjects:
Primary: 62M99
Secondary: 60K15 , 60K20 , 62P10

Keywords: gating mechanism , hypothesis test , independence , stochastic integrals

Rights: Copyright © 1992 Institute of Mathematical Statistics

Vol.20 • No. 3 • September, 1992
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